ISSN:
1432-0673
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract It is shown that the complex poles z of the scattering matrix satisfy the inequality: Im z≧a+b log ¦z¦, b〉0, in three instances of classical scattering in three space dimensions described by the wave equation ut t−c2Δu+qu=0. A) c and q smooth with c=1 and q=0 for ¦x¦〉p, all rays going to infinity, and the energy form positive definite. B) c=1 and q=0 outside of a convex body on which u=0. C) c=1, q bounded and measurable, q=0 for ¦x¦〉p, and the energy form not necessarily positive definite.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00252678
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